Concept
Round-off error
Related publications (208)
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Walter De Gruyter Gmbh2024Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis
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EPFL2024Error estimates for SUPG-stabilised Dynamical Low Rank Approximations
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We perform an error analysis of a fully discretised Streamline Upwind Petrov Galerkin Dynamical Low Rank (SUPG-DLR) method for random time-dependent advection-dominated problems. The time integration scheme has a splitting-like nature, allowing for potenti ...
2024Error field detection and correction studies towards ITER operation
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Iop Publishing Ltd2024A mixed precision LOBPCG algorithm
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The locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm is a popular approach for computing a few smallest eigenvalues and the corresponding eigenvectors of a large Hermitian positive definite matrix A. In this work, we propose a mix ...
SPRINGER2023Assessing real-world gait with digital technology? Validation, insights and recommendations from the Mobilise-D consortium
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Background: Although digital mobility outcomes (DMOs) can be readily calculated from real-world data collected with wearable devices and ad-hoc algorithms, technical validation is still required. The aim of this paper is to comparatively assess and validat ...
BMC2023Singular quadratic eigenvalue problems: linearization and weak condition numbers
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The numerical solution of singular eigenvalue problems is complicated by the fact that small perturbations of the coefficients may have an arbitrarily bad effect on eigenvalue accuracy. However, it has been known for a long time that such perturbations are ...
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Measuring bathymetry has always been a major scientific and technological challenge. In this work, we used a deep learning technique for inferring bathymetry from the depth-averaged velocity field. The training of the neural network is based on 5742 labora ...
2023Low-Rank Tensor Methods for High-Dimensional Problems
In this thesis, we propose and analyze novel numerical algorithms for solving three different high-dimensional problems involving tensors. The commonality of these problems is that the tensors can potentially be well approximated in low-rank formats. Ident ...
EPFL2023An adaptive space-time algorithm for the incompressible Navier-Stokes equations
A space-time adaptive algorithm is presented to solve the incompressible Navier-Stokes equations. Time discretization is performed with the BDF2 method while continuous, piecewise linear anisotropic finite elements are used for the space discretization. Th ...
San Diego2023